Howdy, Ya don't get snow out East like ya do in the Mtns. out West. Rare for the Interstates to be closed. Drop South till ya hit I-70 (Baltimore, Md.), take it till ya hit I-71 (Columbus, Oh.), South to Cincy, go East on I-275 till ya get into Kentucky then back onto I-71 for about 16 miles then bear right and follow I-71 striaght to "The Derby". I-265 should take ya right to I-65 South then the Exectuive East/West Hotel is right in the mini spaghetti bowel of Inter-States.
Double check the google as I haven't run that in a few years. shoule only take 12 or so hours. 14 if stop for gas and a meal and/or a pit stop or 2 along the way. There is another way ta get to 70 using either 81 but I can't remember it right off the top of my head, sorry.
Good Luck, watch out for the idiots along the way, there's more of them than ther is of us...